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Finding the Fourth Proportional to 428,678.10, 642,885.81 and 296,408.34

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Solution

The fourth proportional to 428,678.10, 642,885.81 and 296,408.34 is: 444,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,678.10 : 642,885.81 = 296,408.34 : x
  2. Step 2: Convert to fraction form
    428,678.10/642,885.81 = 296,408.34/x
  3. Step 3: Cross multiply
    428,678.10x = 642,885.81 × 296,408.34
  4. Step 4: Simplify right side
    428,678.10x = 190,556,715,751.66
  5. Step 5: Solve for x
    x = 190,556,715,751.66/428,678.10
  6. Step 6: Final answer
    x = 444,521.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.